412688 has 10 divisors (see below), whose sum is σ = 799614. Its totient is φ = 206336.

The previous prime is 412667. The next prime is 412717. The reversal of 412688 is 886214.

412688 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 262144 + 150544 = 512^2 + 388^2 .

It is a super-2 number, since 2×412688² = 340622770688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 412688.

It is an unprimeable number.

412688 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12881 + ... + 12912.

2⁴¹²⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

412688 is a deficient number, since it is larger than the sum of its proper divisors (386926).

412688 is a wasteful number, since it uses less digits than its factorization.

412688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25801 (or 25795 counting only the distinct ones).

The product of its digits is 3072, while the sum is 29.

The square root of 412688 is about 642.4079700626. The cubic root of 412688 is about 74.4515848369.

The spelling of 412688 in words is "four hundred twelve thousand, six hundred eighty-eight".